We study some relations between the concepts of perimeter, Hausdorff measure, and Minkowsky content, when R-N is endowed with a convex Finsler metric depending in a continuous way on the position. We show some connections with the theory of Gamma-convergence and with the anisotropic motion of a smooth hypersurface by mean curvature.
Bellettini, G., Paolini, M., Venturini, S. (1996). Some results on surface measures in Calculus of Variations. ANNALI DI MATEMATICA PURA ED APPLICATA, CLXX(1), 329-357 [10.1007/BF01758994].
Some results on surface measures in Calculus of Variations
Bellettini, Giovanni;
1996-01-01
Abstract
We study some relations between the concepts of perimeter, Hausdorff measure, and Minkowsky content, when R-N is endowed with a convex Finsler metric depending in a continuous way on the position. We show some connections with the theory of Gamma-convergence and with the anisotropic motion of a smooth hypersurface by mean curvature.
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https://hdl.handle.net/11365/1017395